By Ashim Datta, Vineet Rakesh
Equipped round challenge fixing, this e-book lightly introduces the reader to computational simulation of biomedical shipping techniques, bridging basic idea with real-world purposes. utilizing this booklet the reader will achieve a whole origin to the topic, beginning with challenge simplification, imposing it in software program, via to analyzing the implications, validation, and optimization. Ten case stories, concentrating on rising components reminiscent of thermal treatment and drug supply, with effortless to stick with step by step directions, offer ready-to-use templates for additional functions. resolution technique utilizing the widely used software COMSOL Multiphysics is defined intimately; valuable biomedical estate information and correlations are incorporated; and heritage thought details is given on the finish of the ebook for simple reference. a mix of brief and prolonged workouts make this e-book an entire direction package deal for undergraduate and starting graduate scholars in biomedical and biochemical engineering curricula, in addition to a self-study advisor.
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Extra resources for An Introduction to Modeling of Transport Processes: Applications to Biomedical Systems
C. 11 Possible reductions of various geometries by using: (a) symmetry; (b) symmetry and axisymmetry; (c) complete spherical symmetry. c. c. 12 The 2D geometry on the right used for computation corresponds to two different 3D geometries, depending on whether the analysis is set to 2D or axisymmetry in the software. 13 Example of a situation where we may be able to assume axisymmetry and thereby reduce the size of the computational domain. Although the original patch is square, unless we are interested near the edges, we can assume a circular patch of the same area and thereby treat it as axisymmetric.
By dissecting the problem into distinct processes, we can focus on a very specific goal within the more complex physics. Starting simple also makes it easier to debug. Some possible simplifications are: (1) starting with a 2D instead of a 3D geometry, or a 1D instead of a 2D geometry; (2) starting with no heat transfer (isothermal formulation) even though the physical situation is non-isothermal and therefore heat transfer will eventually need to be added; (3) starting with constant properties instead of properties varying with temperature or concentration, etc.
7 and are derived in Chapter 7. 3 Steps in problem formulation Problem formulation is perhaps the most critical activity in modeling a process. On the one hand, this step can be made overly complex by retaining a lot of unnecessary details in the model that will increase the computational complexities greatly. On the other hand, if simplification is not done carefully, the main physics of the process can be lost, leading to a worthless model for the purpose of simulating the physical process of interest.
An Introduction to Modeling of Transport Processes: Applications to Biomedical Systems by Ashim Datta, Vineet Rakesh